10100333313131 has 8 divisors (see below), whose sum is σ = 10198465621344. Its totient is φ = 10002202367040.

The previous prime is 10100333313107. The next prime is 10100333313137. The reversal of 10100333313131 is 13131333300101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100333313131 - 2¹⁰ = 10100333312107 is a prime.

It is a super-2 number, since 2×10100333313131² (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 = 10100333313097 and 10100333313106.

It is not an unprimeable number, because it can be changed into a prime (10100333313137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21065495 + ... + 21539631.

It is an arithmetic number, because the mean of its divisors is an integer number (1274808202668).

Almost surely, 2^{10100333313131} is an apocalyptic number.

10100333313131 is a deficient number, since it is larger than the sum of its proper divisors (98132308213).

10100333313131 is a wasteful number, since it uses less digits than its factorization.

10100333313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681061.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 10100333313131 its reverse (13131333300101), we get a palindrome (23231666613232).

The spelling of 10100333313131 in words is "ten trillion, one hundred billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred thirty-one".