131001131310 has 64 divisors (see below), whose sum is σ = 371707660800. Its totient is φ = 28910593152.

The previous prime is 131001131299. The next prime is 131001131321. The reversal of 131001131310 is 13131100131.

131001131310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131001131299) and next prime (131001131321).

It is a super-2 number, since 2×131001131310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131001131310.

It is a congruent number.

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, 10749340 + ... + 10761519.

It is an arithmetic number, because the mean of its divisors is an integer number (5807932200).

Almost surely, 2^131001131310 is an apocalyptic number.

131001131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131001131310 is an abundant number, since it is smaller than the sum of its proper divisors (240706529490).

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

131001131310 is a wasteful number, since it uses less digits than its factorization.

131001131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21510905.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 131001131310 its reverse (13131100131), we get a palindrome (144132231441).

The spelling of 131001131310 in words is "one hundred thirty-one billion, one million, one hundred thirty-one thousand, three hundred ten".