40131313322100 has 1152 divisors, whose sum is σ = 158636950585344. Its totient is φ = 7563144960000.

The previous prime is 40131313322077. The next prime is 40131313322143. The reversal of 40131313322100 is 122331313104.

It is a super-2 number, since 2×40131313322100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6545636035 + ... + 6545642165.

It is an arithmetic number, because the mean of its divisors is an integer number (137705686272).

Almost surely, 2^{40131313322100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131313322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79318475292672).

40131313322100 is an abundant number, since it is smaller than the sum of its proper divisors (118505637263244).

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

40131313322100 is a wasteful number, since it uses less digits than its factorization.

40131313322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6557 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 40131313322100 its reverse (122331313104), we get a palindrome (40253644635204).

The spelling of 40131313322100 in words is "forty trillion, one hundred thirty-one billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred".