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1313102031300 = 223252792233777
BaseRepresentation
bin10011000110111010111…
…110101110100111000100
311122112100100010121022200
4103012322332232213010
5133003213110000200
62443121501354500
7163603615051353
oct23067276564704
94575310117280
101313102031300
11466979956234
121925a3268a30
1396a95671397
14477a96b399a
15242542cd800
hex131bafae9c4

1313102031300 has 162 divisors, whose sum is σ = 4168621991898. Its totient is φ = 345726650880.

The previous prime is 1313102031299. The next prime is 1313102031323. The reversal of 1313102031300 is 31302013131.

It is a happy number.

1313102031300 is a `hidden beast` number, since 1 + 3 + 1 + 310 + 20 + 31 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 50054217984 + 1263047813316 = 223728^2 + 1123854^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5500012 + ... + 5733788.

Almost surely, 21313102031300 is an apocalyptic number.

1313102031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313102031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084310995949).

1313102031300 is an abundant number, since it is smaller than the sum of its proper divisors (2855519960598).

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

1313102031300 is a wasteful number, since it uses less digits than its factorization.

1313102031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233955 (or 233866 counting only the distinct ones).

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

Adding to 1313102031300 its reverse (31302013131), we get a palindrome (1344404044431).

The spelling of 1313102031300 in words is "one trillion, three hundred thirteen billion, one hundred two million, thirty-one thousand, three hundred".