10315113642 has 120 divisors (see below), whose sum is σ = 24531079716. Its totient is φ = 3239139456.

The previous prime is 10315113637. The next prime is 10315113659. The reversal of 10315113642 is 24631151301.

It is a happy number.

10315113642 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 5 + 1 + 13 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10213325721 + 101787921 = 101061^2 + 10089^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13625928 + ... + 13626684.

Almost surely, 2^10315113642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315113642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265539858).

10315113642 is an abundant number, since it is smaller than the sum of its proper divisors (14215966074).

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

10315113642 is a wasteful number, since it uses less digits than its factorization.

10315113642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10315113642 its reverse (24631151301), we get a palindrome (34946264943).

The spelling of 10315113642 in words is "ten billion, three hundred fifteen million, one hundred thirteen thousand, six hundred forty-two".