10121311333332 has 48 divisors (see below), whose sum is σ = 26670607902400. Its totient is φ = 3318462730080.

The previous prime is 10121311333313. The next prime is 10121311333369. The reversal of 10121311333332 is 23333311312101.

10121311333332 is a `hidden beast` number, since 1 + 0 + 1 + 213 + 113 + 3 + 3 + 332 = 666.

It is a super-2 number, since 2×10121311333332² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10121311333296 and 10121311333305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768156082 + ... + 768169257.

Almost surely, 2^{10121311333332} is an apocalyptic number.

10121311333332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121311333332 is an abundant number, since it is smaller than the sum of its proper divisors (16549296569068).

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

10121311333332 is a wasteful number, since it uses less digits than its factorization.

10121311333332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536325413 (or 1536325405 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 10121311333332 its reverse (23333311312101), we get a palindrome (33454622645433).

The spelling of 10121311333332 in words is "ten trillion, one hundred twenty-one billion, three hundred eleven million, three hundred thirty-three thousand, three hundred thirty-two".