13013010 has 24 divisors (see below), whose sum is σ = 33834060. Its totient is φ = 3470112.

The previous prime is 13012999. The next prime is 13013023. The reversal of 13013010 is 1031031.

It can be written as a sum of positive squares in 2 ways, for example, as 12131289 + 881721 = 3483^2 + 939^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13012983 and 13013001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72205 + ... + 72384.

Almost surely, 2^13013010 is an apocalyptic number.

13013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13013010 is an abundant number, since it is smaller than the sum of its proper divisors (20821050).

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

13013010 is a wasteful number, since it uses less digits than its factorization.

13013010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144602 (or 144599 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 13013010 is about 3607.3549866904. The cubic root of 13013010 is about 235.2118807340.

Adding to 13013010 its reverse (1031031), we get a palindrome (14044041).

The spelling of 13013010 in words is "thirteen million, thirteen thousand, ten".