131531073102 has 512 divisors, whose sum is σ = 377782272000. Its totient is φ = 33589987200.

The previous prime is 131531073101. The next prime is 131531073103. The reversal of 131531073102 is 201370135131.

It is a happy number.

131531073102 is a `hidden beast` number, since 1 + 31 + 5 + 310 + 7 + 310 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (131531073101) and next prime (131531073103).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131531073101) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 550339099 + ... + 550339337.

It is an arithmetic number, because the mean of its divisors is an integer number (737856000).

Almost surely, 2^131531073102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131531073102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188891136000).

131531073102 is an abundant number, since it is smaller than the sum of its proper divisors (246251198898).

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

131531073102 is a wasteful number, since it uses less digits than its factorization.

131531073102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 131531073102 in words is "one hundred thirty-one billion, five hundred thirty-one million, seventy-three thousand, one hundred two".