13420513000 has 64 divisors (see below), whose sum is σ = 31442411520. Its totient is φ = 5361640000.

The previous prime is 13420512977. The next prime is 13420513003. The reversal of 13420513000 is 31502431.

It is a super-2 number, since 2×13420513000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13420513003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855225 + ... + 870775.

It is an arithmetic number, because the mean of its divisors is an integer number (491287680).

Almost surely, 2^13420513000 is an apocalyptic number.

13420513000 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 13420513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721205760).

13420513000 is an abundant number, since it is smaller than the sum of its proper divisors (18021898520).

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

13420513000 is a wasteful number, since it uses less digits than its factorization.

13420513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16435 (or 16421 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The spelling of 13420513000 in words is "thirteen billion, four hundred twenty million, five hundred thirteen thousand".