13381631032 has 96 divisors (see below), whose sum is σ = 31654425600. Its totient is φ = 5191179840.

The previous prime is 13381630993. The next prime is 13381631033. The reversal of 13381631032 is 23013618331.

It is a junction number, because it is equal to n+sod(n) for n = 13381630985 and 13381631003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13381631033) 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 23 ways as a sum of consecutive naturals, for example, 1615333 + ... + 1623595.

It is an arithmetic number, because the mean of its divisors is an integer number (329733600).

Almost surely, 2^13381631032 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 13381631032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827212800).

13381631032 is an abundant number, since it is smaller than the sum of its proper divisors (18272794568).

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

13381631032 is a wasteful number, since it uses less digits than its factorization.

13381631032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8537 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 13381631032 in words is "thirteen billion, three hundred eighty-one million, six hundred thirty-one thousand, thirty-two".