131102037216 has 192 divisors, whose sum is σ = 395964979200. Its totient is φ = 42151269888.

The previous prime is 131102037203. The next prime is 131102037217. The reversal of 131102037216 is 612730201131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131102037216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131102037217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33247341 + ... + 33251283.

It is an arithmetic number, because the mean of its divisors is an integer number (2062317600).

Almost surely, 2^131102037216 is an apocalyptic number.

131102037216 is a gapful number since it is divisible by the number (16) 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 131102037216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197982489600).

131102037216 is an abundant number, since it is smaller than the sum of its proper divisors (264862941984).

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

131102037216 is a wasteful number, since it uses less digits than its factorization.

131102037216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 131102037216 its reverse (612730201131), we get a palindrome (743832238347).

The spelling of 131102037216 in words is "one hundred thirty-one billion, one hundred two million, thirty-seven thousand, two hundred sixteen".