10313534088 has 256 divisors, whose sum is σ = 34746163200. Its totient is φ = 2791584000.

The previous prime is 10313534071. The next prime is 10313534107. The reversal of 10313534088 is 88043531301.

10313534088 is a `hidden beast` number, since 10 + 31 + 3 + 534 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 952143 + ... + 962913.

It is an arithmetic number, because the mean of its divisors is an integer number (135727200).

Almost surely, 2^10313534088 is an apocalyptic number.

10313534088 is a gapful number since it is divisible by the number (18) 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 10313534088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373081600).

10313534088 is an abundant number, since it is smaller than the sum of its proper divisors (24432629112).

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

10313534088 is a wasteful number, since it uses less digits than its factorization.

10313534088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10841 (or 10831 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10313534088 in words is "ten billion, three hundred thirteen million, five hundred thirty-four thousand, eighty-eight".