131801272050 has 192 divisors, whose sum is σ = 388403712000. Its totient is φ = 28939680000.

The previous prime is 131801272037. The next prime is 131801272063. The reversal of 131801272050 is 50272108131.

It is an interprime number because it is at equal distance from previous prime (131801272037) and next prime (131801272063).

It is a super-2 number, since 2×131801272050² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131801271999 and 131801272017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6048675 + ... + 6070425.

It is an arithmetic number, because the mean of its divisors is an integer number (2022936000).

Almost surely, 2^131801272050 is an apocalyptic number.

131801272050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131801272050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194201856000).

131801272050 is an abundant number, since it is smaller than the sum of its proper divisors (256602439950).

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

131801272050 is a wasteful number, since it uses less digits than its factorization.

131801272050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22001 (or 21996 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 131801272050 in words is "one hundred thirty-one billion, eight hundred one million, two hundred seventy-two thousand, fifty".