131001112033040 has 80 divisors (see below), whose sum is σ = 320616441198720. Its totient is φ = 49641217274880.

The previous prime is 131001112033037. The next prime is 131001112033049. The reversal of 131001112033040 is 40330211100131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131001112033040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131001112033049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57504500 + ... + 59739180.

It is an arithmetic number, because the mean of its divisors is an integer number (4007705514984).

Almost surely, 2^{131001112033040} is an apocalyptic number.

131001112033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001112033040 is an abundant number, since it is smaller than the sum of its proper divisors (189615329165680).

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

131001112033040 is a wasteful number, since it uses less digits than its factorization.

131001112033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273280 (or 2273274 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131001112033040 its reverse (40330211100131), we get a palindrome (171331323133171).

It can be divided in two parts, 13100111 and 2033040, that added together give a palindrome (15133151).

The spelling of 131001112033040 in words is "one hundred thirty-one trillion, one billion, one hundred twelve million, thirty-three thousand, forty".