131131113030 has 224 divisors, whose sum is σ = 364580310528. Its totient is φ = 33922022400.

The previous prime is 131131112971. The next prime is 131131113121. The reversal of 131131113030 is 30311131131.

131131113030 is a `hidden beast` number, since 1 + 311 + 311 + 13 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131131112994 and 131131113012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57086842 + ... + 57089138.

It is an arithmetic number, because the mean of its divisors is an integer number (1627590672).

Almost surely, 2^131131113030 is an apocalyptic number.

131131113030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131131113030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182290155264).

131131113030 is an abundant number, since it is smaller than the sum of its proper divisors (233449197498).

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

131131113030 is a wasteful number, since it uses less digits than its factorization.

131131113030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131131113030 its reverse (30311131131), we get a palindrome (161442244161).

The spelling of 131131113030 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred thirteen thousand, thirty".