131133023011020 has 192 divisors, whose sum is σ = 374703025213440. Its totient is φ = 34253782597632.

The previous prime is 131133023010949. The next prime is 131133023011027. The reversal of 131133023011020 is 20110320331131.

It is a happy number.

It is a super-3 number, since 3×131133023011020³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131133023011027) 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, 5160876076 + ... + 5160901484.

It is an arithmetic number, because the mean of its divisors is an integer number (1951578256320).

Almost surely, 2^{131133023011020} is an apocalyptic number.

131133023011020 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 131133023011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187351512606720).

131133023011020 is an abundant number, since it is smaller than the sum of its proper divisors (243570002202420).

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

131133023011020 is a wasteful number, since it uses less digits than its factorization.

131133023011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28024 (or 28022 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131133023011020 its reverse (20110320331131), we get a palindrome (151243343342151).

The spelling of 131133023011020 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, twenty-three million, eleven thousand, twenty".