131233311198 has 96 divisors (see below), whose sum is σ = 313722968832. Its totient is φ = 39315340800.

The previous prime is 131233311161. The next prime is 131233311211. The reversal of 131233311198 is 891113332131.

It is a happy number.

131233311198 is a `hidden beast` number, since 1 + 312 + 3 + 331 + 1 + 1 + 9 + 8 = 666.

It is a super-2 number, since 2×131233311198² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20950615 + ... + 20956877.

It is an arithmetic number, because the mean of its divisors is an integer number (3267947592).

Almost surely, 2^131233311198 is an apocalyptic number.

131233311198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131233311198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156861484416).

131233311198 is an abundant number, since it is smaller than the sum of its proper divisors (182489657634).

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

131233311198 is a wasteful number, since it uses less digits than its factorization.

131233311198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470 (or 7467 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The spelling of 131233311198 in words is "one hundred thirty-one billion, two hundred thirty-three million, three hundred eleven thousand, one hundred ninety-eight".