100130031131310 has 256 divisors, whose sum is σ = 285347697868800. Its totient is φ = 24911528745600.

The previous prime is 100130031131279. The next prime is 100130031131341. The reversal of 100130031131310 is 13131130031001.

100130031131310 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 30 + 0 + 311 + 313 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (100130031131279) and next prime (100130031131341).

It is a super-2 number, since 2×100130031131310² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 322917045 + ... + 323226975.

It is an arithmetic number, because the mean of its divisors is an integer number (1114639444800).

Almost surely, 2^{100130031131310} is an apocalyptic number.

100130031131310 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 100130031131310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142673848934400).

100130031131310 is an abundant number, since it is smaller than the sum of its proper divisors (185217666737490).

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

100130031131310 is a wasteful number, since it uses less digits than its factorization.

100130031131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310924 (or 310918 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 100130031131310 its reverse (13131130031001), we get a palindrome (113261161162311).

The spelling of 100130031131310 in words is "one hundred trillion, one hundred thirty billion, thirty-one million, one hundred thirty-one thousand, three hundred ten".