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131020321011320 = 23513251962155791
BaseRepresentation
bin11101110010100110001011…
…101100010011011001111000
3122011220102100110000001020202
4131302212023230103121320
5114133114104134330240
61142353523214141332
736411622460204456
oct3562461354233170
9564812313001222
10131020321011320
1138824451577754
12128407484b1848
1358152178a1c80
14244d5bb3ad9d6
151023214d3a315
hex77298bb13678

131020321011320 has 32 divisors (see below), whose sum is σ = 317472316297920. Its totient is φ = 48376733911680.

The previous prime is 131020321011311. The next prime is 131020321011329. The reversal of 131020321011320 is 23110123020131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131020321011311) and next prime (131020321011329).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131020321011292 and 131020321011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020321011329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125981077376 + ... + 125981078415.

It is an arithmetic number, because the mean of its divisors is an integer number (9921009884310).

Almost surely, 2131020321011320 is an apocalyptic number.

131020321011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020321011320 is an abundant number, since it is smaller than the sum of its proper divisors (186451995286600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131020321011320 is a wasteful number, since it uses less digits than its factorization.

131020321011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251962155815 (or 251962155811 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131020321011320 its reverse (23110123020131), we get a palindrome (154130444031451).

The spelling of 131020321011320 in words is "one hundred thirty-one trillion, twenty billion, three hundred twenty-one million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 251962155791 503924311582 1007848623164 1259810778955 2015697246328 2519621557910 3275508025283 5039243115820 6551016050566 10078486231640 13102032101132 16377540126415 26204064202264 32755080252830 65510160505660 131020321011320