231314101000 has 128 divisors (see below), whose sum is σ = 552612209760. Its totient is φ = 90594816000.

The previous prime is 231314100931. The next prime is 231314101033. The reversal of 231314101000 is 101413132.

It can be written as a sum of positive squares in 16 ways, for example, as 36234645316 + 195079455684 = 190354^2 + 441678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27608812 + ... + 27617188.

Almost surely, 2^231314101000 is an apocalyptic number.

231314101000 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 231314101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276306104880).

231314101000 is an abundant number, since it is smaller than the sum of its proper divisors (321298108760).

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

231314101000 is a wasteful number, since it uses less digits than its factorization.

231314101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 231314101000 its reverse (101413132), we get a palindrome (231415514132).

The spelling of 231314101000 in words is "two hundred thirty-one billion, three hundred fourteen million, one hundred one thousand".