131311130313000 has 768 divisors, whose sum is σ = 459791846841600. Its totient is φ = 31170349056000.

The previous prime is 131311130312959. The next prime is 131311130313031. The reversal of 131311130313000 is 313031113131.

It is a super-2 number, since 2×131311130313000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3404557716 + ... + 3404596284.

It is an arithmetic number, because the mean of its divisors is an integer number (598687300575).

Almost surely, 2^{131311130313000} is an apocalyptic number.

131311130313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131311130313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229895923420800).

131311130313000 is an abundant number, since it is smaller than the sum of its proper divisors (328480716528600).

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

131311130313000 is a wasteful number, since it uses less digits than its factorization.

131311130313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38811 (or 38786 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 131311130313000 its reverse (313031113131), we get a palindrome (131624161426131).

The spelling of 131311130313000 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty million, three hundred thirteen thousand".