1013103300321 has 48 divisors (see below), whose sum is σ = 1680472894464. Its totient is φ = 576131899392.

The previous prime is 1013103300299. The next prime is 1013103300329. The reversal of 1013103300321 is 1230033013101.

It is a happy number.

1013103300321 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 10 + 330 + 0 + 321 = 666.

It is not a de Polignac number, because 1013103300321 - 2²⁶ = 1013036191457 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1013103300294 and 1013103300303.

It is not an unprimeable number, because it can be changed into a prime (1013103300329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50805265 + ... + 50825201.

It is an arithmetic number, because the mean of its divisors is an integer number (35009851968).

Almost surely, 2^{1013103300321} is an apocalyptic number.

It is an amenable number.

1013103300321 is a deficient number, since it is larger than the sum of its proper divisors (667369594143).

1013103300321 is a wasteful number, since it uses less digits than its factorization.

1013103300321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23790 (or 23787 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1013103300321 its reverse (1230033013101), we get a palindrome (2243136313422).

The spelling of 1013103300321 in words is "one trillion, thirteen billion, one hundred three million, three hundred thousand, three hundred twenty-one".