121331013300331 has 32 divisors (see below), whose sum is σ = 127530920088000. Its totient is φ = 115273265522688.

The previous prime is 121331013300239. The next prime is 121331013300349. The reversal of 121331013300331 is 133003310133121.

It is a cyclic number.

It is not a de Polignac number, because 121331013300331 - 2¹¹ = 121331013298283 is a prime.

It is a super-2 number, since 2×121331013300331² (a number of 29 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 = 121331013300296 and 121331013300305.

It is not an unprimeable number, because it can be changed into a prime (121331013304331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1872562071 + ... + 1872626863.

It is an arithmetic number, because the mean of its divisors is an integer number (3985341252750).

Almost surely, 2^{121331013300331} is an apocalyptic number.

121331013300331 is a deficient number, since it is larger than the sum of its proper divisors (6199906787669).

121331013300331 is a wasteful number, since it uses less digits than its factorization.

121331013300331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66943.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 121331013300331 its reverse (133003310133121), we get a palindrome (254334323433452).

The spelling of 121331013300331 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, thirteen million, three hundred thousand, three hundred thirty-one".