131313011100 has 144 divisors (see below), whose sum is σ = 390660912768. Its totient is φ = 34030229760.

The previous prime is 131313011087. The next prime is 131313011101. The reversal of 131313011100 is 1110313131.

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 131313011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313011101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10061179 + ... + 10074221.

Almost surely, 2^131313011100 is an apocalyptic number.

131313011100 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 131313011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195330456384).

131313011100 is an abundant number, since it is smaller than the sum of its proper divisors (259347901668).

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

131313011100 is a wasteful number, since it uses less digits than its factorization.

131313011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14004 (or 13997 counting only the distinct ones).

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

Adding to 131313011100 its reverse (1110313131), we get a palindrome (132423324231).

The spelling of 131313011100 in words is "one hundred thirty-one billion, three hundred thirteen million, eleven thousand, one hundred".