1013312010 has 32 divisors (see below), whose sum is σ = 2483695872. Its totient is φ = 264466880.

The previous prime is 1013311993. The next prime is 1013312129. The reversal of 1013312010 is 102133101.

1013312010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013312010² = 2053602459220480200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357921 + ... + 360740.

It is an arithmetic number, because the mean of its divisors is an integer number (77615496).

Almost surely, 2^1013312010 is an apocalyptic number.

1013312010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013312010 is an abundant number, since it is smaller than the sum of its proper divisors (1470383862).

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

1013312010 is a wasteful number, since it uses less digits than its factorization.

1013312010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718718.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1013312010 is about 31832.5621023505. The cubic root of 1013312010 is about 1004.4177910484.

Adding to 1013312010 its reverse (102133101), we get a palindrome (1115445111).

The spelling of 1013312010 in words is "one billion, thirteen million, three hundred twelve thousand, ten".