31131004025040 has 160 divisors (see below), whose sum is σ = 98013985620096. Its totient is φ = 8172062300160.

The previous prime is 31131004025039. The next prime is 31131004025041. The reversal of 31131004025040 is 4052040013113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31131004025039) and next prime (31131004025041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31131004025040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31131004025041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22698030 + ... + 24030450.

Almost surely, 2^{31131004025040} is an apocalyptic number.

31131004025040 is a gapful number since it is divisible by the number (30) 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 31131004025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49006992810048).

31131004025040 is an abundant number, since it is smaller than the sum of its proper divisors (66882981595056).

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

31131004025040 is a wasteful number, since it uses less digits than its factorization.

31131004025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333957 (or 1333951 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 31131004025040 its reverse (4052040013113), we get a palindrome (35183044038153).

The spelling of 31131004025040 in words is "thirty-one trillion, one hundred thirty-one billion, four million, twenty-five thousand, forty".