231001312313100 has 288 divisors, whose sum is σ = 787458650420736. Its totient is φ = 51184379750400.

The previous prime is 231001312313087. The next prime is 231001312313231. The reversal of 231001312313100 is 1313213100132.

It is a happy number.

It is a super-2 number, since 2×231001312313100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4973299 + ... + 22062101.

It is an arithmetic number, because the mean of its divisors is an integer number (2734231425072).

Almost surely, 2^{231001312313100} is an apocalyptic number.

231001312313100 is a gapful number since it is divisible by the number (20) 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 231001312313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393729325210368).

231001312313100 is an abundant number, since it is smaller than the sum of its proper divisors (556457338107636).

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

231001312313100 is a wasteful number, since it uses less digits than its factorization.

231001312313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17089025 (or 17089018 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 231001312313100 its reverse (1313213100132), we get a palindrome (232314525413232).

The spelling of 231001312313100 in words is "two hundred thirty-one trillion, one billion, three hundred twelve million, three hundred thirteen thousand, one hundred".