101302103131000 has 64 divisors (see below), whose sum is σ = 250990857917280. Its totient is φ = 38137262348800.

The previous prime is 101302103130959. The next prime is 101302103131007. The reversal of 101302103131000 is 131301203101.

101302103131000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101302103131000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101302103131007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979456622 + ... + 2979490621.

Almost surely, 2^{101302103131000} is an apocalyptic number.

101302103131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101302103131000 is an abundant number, since it is smaller than the sum of its proper divisors (149688754786280).

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

101302103131000 is a wasteful number, since it uses less digits than its factorization.

101302103131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958947281 (or 5958947267 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101302103131000 its reverse (131301203101), we get a palindrome (101433404334101).

The spelling of 101302103131000 in words is "one hundred one trillion, three hundred two billion, one hundred three million, one hundred thirty-one thousand".