131201441906892 has 192 divisors, whose sum is σ = 371817190370304. Its totient is φ = 35150991482880.

The previous prime is 131201441906891. The next prime is 131201441906897. The reversal of 131201441906892 is 298609144102131.

It is a super-3 number, since 3×131201441906892³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (131201441906891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4146286423 + ... + 4146318065.

It is an arithmetic number, because the mean of its divisors is an integer number (1936547866512).

Almost surely, 2^{131201441906892} is an apocalyptic number.

131201441906892 is a gapful number since it is divisible by the number (12) 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 131201441906892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185908595185152).

131201441906892 is an abundant number, since it is smaller than the sum of its proper divisors (240615748463412).

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

131201441906892 is a wasteful number, since it uses less digits than its factorization.

131201441906892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42288 (or 42286 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 131201441906892 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred forty-one million, nine hundred six thousand, eight hundred ninety-two".