101310331013000 has 32 divisors (see below), whose sum is σ = 237066174572760. Its totient is φ = 40524132404800.

The previous prime is 101310331012997. The next prime is 101310331013057. The reversal of 101310331013000 is 310133013101.

It can be written as a sum of positive squares in 4 ways, for example, as 26656341828484 + 74653989184516 = 5162978^2 + 8640254^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101310331013000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50655164507 + ... + 50655166506.

Almost surely, 2^{101310331013000} is an apocalyptic number.

101310331013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101310331013000 is an abundant number, since it is smaller than the sum of its proper divisors (135755843559760).

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

101310331013000 is a wasteful number, since it uses less digits than its factorization.

101310331013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101310331034 (or 101310331020 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 101310331013000 its reverse (310133013101), we get a palindrome (101620464026101).

The spelling of 101310331013000 in words is "one hundred one trillion, three hundred ten billion, three hundred thirty-one million, thirteen thousand".