131101033200000 has 768 divisors, whose sum is σ = 447000670126080. Its totient is φ = 34028467200000.

The previous prime is 131101033199957. The next prime is 131101033200019. The reversal of 131101033200000 is 2330101131.

It is a super-2 number, since 2×131101033200000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8077191885 + ... + 8077208115.

It is an arithmetic number, because the mean of its divisors is an integer number (582032122560).

Almost surely, 2^{131101033200000} is an apocalyptic number.

131101033200000 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 131101033200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223500335063040).

131101033200000 is an abundant number, since it is smaller than the sum of its proper divisors (315899636926080).

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

131101033200000 is an equidigital number, since it uses as much as digits as its factorization.

131101033200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16453 (or 16421 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131101033200000 its reverse (2330101131), we get a palindrome (131103363301131).

The spelling of 131101033200000 in words is "one hundred thirty-one trillion, one hundred one billion, thirty-three million, two hundred thousand".