131033401040 has 40 divisors (see below), whose sum is σ = 322573405320. Its totient is φ = 49330221056.

The previous prime is 131033401021. The next prime is 131033401043. The reversal of 131033401040 is 40104330131.

It can be written as a sum of positive squares in 4 ways, for example, as 26776740496 + 104256660544 = 163636^2 + 322888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033401043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48172685 + ... + 48175404.

It is an arithmetic number, because the mean of its divisors is an integer number (8064335133).

Almost surely, 2^131033401040 is an apocalyptic number.

131033401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131033401040 is an abundant number, since it is smaller than the sum of its proper divisors (191540004280).

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

131033401040 is a wasteful number, since it uses less digits than its factorization.

131033401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96348119 (or 96348113 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131033401040 its reverse (40104330131), we get a palindrome (171137731171).

It can be divided in two parts, 13103 and 3401040, that added together give a palindrome (3414143).

The spelling of 131033401040 in words is "one hundred thirty-one billion, thirty-three million, four hundred one thousand, forty".