131111284920 has 256 divisors, whose sum is σ = 490675553280. Its totient is φ = 27228057600.

The previous prime is 131111284919. The next prime is 131111284921. The reversal of 131111284920 is 29482111131.

It is an interprime number because it is at equal distance from previous prime (131111284919) and next prime (131111284921).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111284921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22551934 + ... + 22557746.

It is an arithmetic number, because the mean of its divisors is an integer number (1916701380).

Almost surely, 2^131111284920 is an apocalyptic number.

131111284920 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 131111284920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245337776640).

131111284920 is an abundant number, since it is smaller than the sum of its proper divisors (359564268360).

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

131111284920 is a wasteful number, since it uses less digits than its factorization.

131111284920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 131111284920 in words is "one hundred thirty-one billion, one hundred eleven million, two hundred eighty-four thousand, nine hundred twenty".