131001012 has 18 divisors (see below), whose sum is σ = 331141538. Its totient is φ = 43666992.

The previous prime is 131001011. The next prime is 131001037. The reversal of 131001012 is 210100131.

It can be written as a sum of positive squares in only one way, i.e., 123743376 + 7257636 = 11124^2 + 2694^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×131001012² = 34322530290048288, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131000985 and 131001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1819423 + ... + 1819494.

Almost surely, 2^131001012 is an apocalyptic number.

131001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131001012 is an abundant number, since it is smaller than the sum of its proper divisors (200140526).

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

131001012 is a wasteful number, since it uses less digits than its factorization.

131001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638927 (or 3638922 counting only the distinct ones).

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

The square root of 131001012 is about 11445.5673515995. The cubic root of 131001012 is about 507.8766156211.

Adding to 131001012 its reverse (210100131), we get a palindrome (341101143).

The spelling of 131001012 in words is "one hundred thirty-one million, one thousand, twelve".