131212320100 has 36 divisors (see below), whose sum is σ = 284747595300. Its totient is φ = 52481820160.

The previous prime is 131212320091. The next prime is 131212320103. The reversal of 131212320100 is 1023212131.

It can be written as a sum of positive squares in 6 ways, for example, as 3719048256 + 127493271844 = 60984^2 + 357062^2 .

It is not an unprimeable number, because it can be changed into a prime (131212320103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2454456 + ... + 2507344.

It is an arithmetic number, because the mean of its divisors is an integer number (7909655425).

Almost surely, 2^131212320100 is an apocalyptic number.

131212320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212320100 is an abundant number, since it is smaller than the sum of its proper divisors (153535275200).

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

131212320100 is a wasteful number, since it uses less digits than its factorization.

131212320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77712 (or 77705 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131212320100 its reverse (1023212131), we get a palindrome (132235532231).

The spelling of 131212320100 in words is "one hundred thirty-one billion, two hundred twelve million, three hundred twenty thousand, one hundred".