131362214292 has 216 divisors, whose sum is σ = 374794003584. Its totient is φ = 40090940928.

The previous prime is 131362214257. The next prime is 131362214293. The reversal of 131362214292 is 292412263131.

131362214292 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 6 + 221 + 429 + 2 = 666.

It is a super-2 number, since 2×131362214292² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131362214293) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22618453 + ... + 22624259.

It is an arithmetic number, because the mean of its divisors is an integer number (1735157424).

Almost surely, 2^131362214292 is an apocalyptic number.

131362214292 is a gapful number since it is divisible by the number (12) 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 131362214292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187397001792).

131362214292 is an abundant number, since it is smaller than the sum of its proper divisors (243431789292).

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

131362214292 is a wasteful number, since it uses less digits than its factorization.

131362214292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5866 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 131362214292 in words is "one hundred thirty-one billion, three hundred sixty-two million, two hundred fourteen thousand, two hundred ninety-two".