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131213013030 = 2325112316335353
BaseRepresentation
bin111101000110011100…
…1111011000000100110
3110112200110102200200100
41322030321323000212
54122211012404110
6140140050124530
712323403131331
oct1721471730046
9415613380610
10131213013030
1150713363840
122151ab80746
13c4b12a4118
1464ca625618
15362e5bebc0
hex1e8ce7b026

131213013030 has 192 divisors, whose sum is σ = 390742589952. Its totient is φ = 30238686720.

The previous prime is 131213012999. The next prime is 131213013059. The reversal of 131213013030 is 30310312131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131213012994 and 131213013012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3693834 + ... + 3729186.

It is an arithmetic number, because the mean of its divisors is an integer number (2035117656).

Almost surely, 2131213013030 is an apocalyptic number.

131213013030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131213013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195371294976).

131213013030 is an abundant number, since it is smaller than the sum of its proper divisors (259529576922).

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

131213013030 is a wasteful number, since it uses less digits than its factorization.

131213013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35563 (or 35560 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131213013030 its reverse (30310312131), we get a palindrome (161523325161).

The spelling of 131213013030 in words is "one hundred thirty-one billion, two hundred thirteen million, thirteen thousand, thirty".