10113032203313 has 16 divisors (see below), whose sum is σ = 11022367818000. Its totient is φ = 9222960257280.

The previous prime is 10113032203259. The next prime is 10113032203357. The reversal of 10113032203313 is 31330223031101.

It can be written as a sum of positive squares in 8 ways, for example, as 1170438369424 + 8942593833889 = 1081868^2 + 2990417^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113032203313 - 2¹² = 10113032199217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10113032203363) 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, 9730298 + ... + 10719363.

It is an arithmetic number, because the mean of its divisors is an integer number (688897988625).

Almost surely, 2^{10113032203313} is an apocalyptic number.

10113032203313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10113032203313 is a deficient number, since it is larger than the sum of its proper divisors (909335614687).

10113032203313 is a wasteful number, since it uses less digits than its factorization.

10113032203313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20450132.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10113032203313 its reverse (31330223031101), we get a palindrome (41443255234414).

The spelling of 10113032203313 in words is "ten trillion, one hundred thirteen billion, thirty-two million, two hundred three thousand, three hundred thirteen".