10100313122033 has 4 divisors (see below), whose sum is σ = 10100341267968. Its totient is φ = 10100284976100.

The previous prime is 10100313122023. The next prime is 10100313122093. The reversal of 10100313122033 is 33022131300101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10100313122033 - 2¹⁶ = 10100313056497 is a prime.

It is a super-2 number, since 2×10100313122033² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100313121996 and 10100313122014.

It is not an unprimeable number, because it can be changed into a prime (10100313122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13527641 + ... + 14254742.

It is an arithmetic number, because the mean of its divisors is an integer number (2525085316992).

Almost surely, 2^{10100313122033} is an apocalyptic number.

It is an amenable number.

10100313122033 is a deficient number, since it is larger than the sum of its proper divisors (28145935).

10100313122033 is an equidigital number, since it uses as much as digits as its factorization.

10100313122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28145934.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10100313122033 its reverse (33022131300101), we get a palindrome (43122444422134).

The spelling of 10100313122033 in words is "ten trillion, one hundred billion, three hundred thirteen million, one hundred twenty-two thousand, thirty-three".