131212220100 has 288 divisors, whose sum is σ = 415975209216. Its totient is φ = 31739904000.

The previous prime is 131212220089. The next prime is 131212220101. The reversal of 131212220100 is 1022212131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131212220100.

It is not an unprimeable number, because it can be changed into a prime (131212220101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57122152 + ... + 57124448.

Almost surely, 2^131212220100 is an apocalyptic number.

131212220100 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 131212220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207987604608).

131212220100 is an abundant number, since it is smaller than the sum of its proper divisors (284762989116).

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

131212220100 is a wasteful number, since it uses less digits than its factorization.

131212220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131212220100 its reverse (1022212131), we get a palindrome (132234432231).

The spelling of 131212220100 in words is "one hundred thirty-one billion, two hundred twelve million, two hundred twenty thousand, one hundred".