131313111000 has 192 divisors, whose sum is σ = 421082232480. Its totient is φ = 34069363200.

The previous prime is 131313110987. The next prime is 131313111029. The reversal of 131313111000 is 111313131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4091014 + ... + 4122986.

Almost surely, 2^131313111000 is an apocalyptic number.

131313111000 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 131313111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210541116240).

131313111000 is an abundant number, since it is smaller than the sum of its proper divisors (289769121480).

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

131313111000 is a wasteful number, since it uses less digits than its factorization.

131313111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32071 (or 32020 counting only the distinct ones).

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

Adding to 131313111000 its reverse (111313131), we get a palindrome (131424424131).

The spelling of 131313111000 in words is "one hundred thirty-one billion, three hundred thirteen million, one hundred eleven thousand".