1013020320 has 96 divisors (see below), whose sum is σ = 3436497792. Its totient is φ = 249357312.

The previous prime is 1013020289. The next prime is 1013020409. The reversal of 1013020320 is 230203101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1013020296 and 1013020305.

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, 74932 + ... + 87411.

It is an arithmetic number, because the mean of its divisors is an integer number (35796852).

Almost surely, 2^1013020320 is an apocalyptic number.

1013020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013020320 is an abundant number, since it is smaller than the sum of its proper divisors (2423477472).

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

1013020320 is a wasteful number, since it uses less digits than its factorization.

1013020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162374 (or 162366 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1013020320 is about 31827.9801432639. The cubic root of 1013020320 is about 1004.3214052235.

Adding to 1013020320 its reverse (230203101), we get a palindrome (1243223421).

The spelling of 1013020320 in words is "one billion, thirteen million, twenty thousand, three hundred twenty".