31437138100 has 72 divisors (see below), whose sum is σ = 69127138080. Its totient is φ = 12407767680.

The previous prime is 31437138067. The next prime is 31437138101. The reversal of 31437138100 is 183173413.

It is a super-2 number, since 2×31437138100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31437138101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8406031 + ... + 8409769.

It is an arithmetic number, because the mean of its divisors is an integer number (960099140).

Almost surely, 2^31437138100 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 31437138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34563569040).

31437138100 is an abundant number, since it is smaller than the sum of its proper divisors (37689999980).

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

31437138100 is a wasteful number, since it uses less digits than its factorization.

31437138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 31437138100 in words is "thirty-one billion, four hundred thirty-seven million, one hundred thirty-eight thousand, one hundred".