1013001310 has 32 divisors (see below), whose sum is σ = 1883011680. Its totient is φ = 392128128.

The previous prime is 1013001299. The next prime is 1013001317. The reversal of 1013001310 is 131003101.

1013001310 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 2×1013001310² = 2052343308123432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013001317) 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, 36064 + ... + 57676.

It is an arithmetic number, because the mean of its divisors is an integer number (58844115).

Almost surely, 2^1013001310 is an apocalyptic number.

1013001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013001310 is a deficient number, since it is larger than the sum of its proper divisors (870010370).

1013001310 is a wasteful number, since it uses less digits than its factorization.

1013001310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21772.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1013001310 is about 31827.6815052558. The cubic root of 1013001310 is about 1004.3151229311.

Adding to 1013001310 its reverse (131003101), we get a palindrome (1144004411).

The spelling of 1013001310 in words is "one billion, thirteen million, one thousand, three hundred ten".