131002101000 has 96 divisors (see below), whose sum is σ = 442787131800. Its totient is φ = 34933891200.

The previous prime is 131002100989. The next prime is 131002101011. The reversal of 131002101000 is 101200131.

It is an interprime number because it is at equal distance from previous prime (131002100989) and next prime (131002101011).

It can be written as a sum of positive squares in 4 ways, for example, as 7164268164 + 123837832836 = 84642^2 + 351906^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7268895 + ... + 7286894.

Almost surely, 2^131002101000 is an apocalyptic number.

131002101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131002101000 is an abundant number, since it is smaller than the sum of its proper divisors (311785030800).

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

131002101000 is a wasteful number, since it uses less digits than its factorization.

131002101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14555816 (or 14555799 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 131002101000 its reverse (101200131), we get a palindrome (131103301131).

The spelling of 131002101000 in words is "one hundred thirty-one billion, two million, one hundred one thousand".