100311131310 has 128 divisors (see below), whose sum is σ = 261236949120. Its totient is φ = 24650615808.

The previous prime is 100311131303. The next prime is 100311131329. The reversal of 100311131310 is 13131113001.

It is a super-2 number, since 2×100311131310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100311131310.

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, 62811432 + ... + 62813028.

It is an arithmetic number, because the mean of its divisors is an integer number (2040913665).

Almost surely, 2^100311131310 is an apocalyptic number.

100311131310 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 100311131310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130618474560).

100311131310 is an abundant number, since it is smaller than the sum of its proper divisors (160925817810).

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

100311131310 is a wasteful number, since it uses less digits than its factorization.

100311131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100311131310 its reverse (13131113001), we get a palindrome (113442244311).

The spelling of 100311131310 in words is "one hundred billion, three hundred eleven million, one hundred thirty-one thousand, three hundred ten".