10152631340310 has 128 divisors (see below), whose sum is σ = 25497640608768. Its totient is φ = 2584782144000.

The previous prime is 10152631340297. The next prime is 10152631340339. The reversal of 10152631340310 is 1304313625101.

It is a super-2 number, since 2×10152631340310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 16323640 + ... + 16934180.

It is an arithmetic number, because the mean of its divisors is an integer number (199200317256).

Almost surely, 2^{10152631340310} is an apocalyptic number.

10152631340310 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 10152631340310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12748820304384).

10152631340310 is an abundant number, since it is smaller than the sum of its proper divisors (15345009268458).

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

10152631340310 is a wasteful number, since it uses less digits than its factorization.

10152631340310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610870.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 10152631340310 its reverse (1304313625101), we get a palindrome (11456944965411).

The spelling of 10152631340310 in words is "ten trillion, one hundred fifty-two billion, six hundred thirty-one million, three hundred forty thousand, three hundred ten".