13085431700 has 144 divisors (see below), whose sum is σ = 32220937728. Its totient is φ = 4569600000.

The previous prime is 13085431693. The next prime is 13085431721. The reversal of 13085431700 is 713458031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4670300 + ... + 4673100.

It is an arithmetic number, because the mean of its divisors is an integer number (223756512).

Almost surely, 2^13085431700 is an apocalyptic number.

13085431700 is a gapful number since it is divisible by the number (10) 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 13085431700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16110468864).

13085431700 is an abundant number, since it is smaller than the sum of its proper divisors (19135506028).

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

13085431700 is a wasteful number, since it uses less digits than its factorization.

13085431700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 13085431700 its reverse (713458031), we get a palindrome (13798889731).

The spelling of 13085431700 in words is "thirteen billion, eighty-five million, four hundred thirty-one thousand, seven hundred".