13731038772 has 96 divisors (see below), whose sum is σ = 36056065920. Its totient is φ = 4030456320.

The previous prime is 13731038729. The next prime is 13731038803. The reversal of 13731038772 is 27783013731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112298 + ... + 1124574.

It is an arithmetic number, because the mean of its divisors is an integer number (375584020).

Almost surely, 2^13731038772 is an apocalyptic number.

13731038772 is a gapful number since it is divisible by the number (12) 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 13731038772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028032960).

13731038772 is an abundant number, since it is smaller than the sum of its proper divisors (22325027148).

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

13731038772 is a wasteful number, since it uses less digits than its factorization.

13731038772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12561 (or 12559 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 13731038772 in words is "thirteen billion, seven hundred thirty-one million, thirty-eight thousand, seven hundred seventy-two".