1013312104 has 128 divisors (see below), whose sum is σ = 2438553600. Its totient is φ = 384721920.

The previous prime is 1013311993. The next prime is 1013312129. The reversal of 1013312104 is 4012133101.

It is a super-2 number, since 2×1013312104² = 2053602840225813632, which contains 22 as substring.

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, 1149744 + ... + 1150624.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2^1013312104 is an apocalyptic number.

1013312104 is a gapful number since it is divisible by the number (14) 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 1013312104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276800).

1013312104 is an abundant number, since it is smaller than the sum of its proper divisors (1425241496).

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

1013312104 is a wasteful number, since it uses less digits than its factorization.

1013312104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1013312104 is about 31832.5635788260. The cubic root of 1013312104 is about 1004.4178221067.

Adding to 1013312104 its reverse (4012133101), we get a palindrome (5025445205).

The spelling of 1013312104 in words is "one billion, thirteen million, three hundred twelve thousand, one hundred four".