10013101021300 has 72 divisors (see below), whose sum is σ = 23400730332056. Its totient is φ = 3697005404160.

The previous prime is 10013101021283. The next prime is 10013101021333. The reversal of 10013101021300 is 312010131001.

It can be written as a sum of positive squares in 12 ways, for example, as 8055401945616 + 1957699075684 = 2838204^2 + 1399178^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38184232 + ... + 38445568.

Almost surely, 2^{10013101021300} is an apocalyptic number.

10013101021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013101021300 is an abundant number, since it is smaller than the sum of its proper divisors (13387629310756).

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

10013101021300 is a wasteful number, since it uses less digits than its factorization.

10013101021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290837 (or 290830 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10013101021300 its reverse (312010131001), we get a palindrome (10325111152301).

The spelling of 10013101021300 in words is "ten trillion, thirteen billion, one hundred one million, twenty-one thousand, three hundred".