13002031000 has 128 divisors (see below), whose sum is σ = 34939906560. Its totient is φ = 4436208000.

The previous prime is 13002030971. The next prime is 13002031039. The reversal of 13002031000 is 13020031.

It is a super-2 number, since 2×13002031000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1472599 + ... + 1481401.

It is an arithmetic number, because the mean of its divisors is an integer number (272968020).

Almost surely, 2^13002031000 is an apocalyptic number.

13002031000 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 13002031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17469953280).

13002031000 is an abundant number, since it is smaller than the sum of its proper divisors (21937875560).

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

13002031000 is a wasteful number, since it uses less digits than its factorization.

13002031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 13002031000 its reverse (13020031), we get a palindrome (13015051031).

The spelling of 13002031000 in words is "thirteen billion, two million, thirty-one thousand".