121303313131 has 96 divisors (see below), whose sum is σ = 171592114176. Its totient is φ = 84206304000.

The previous prime is 121303313101. The next prime is 121303313141. The reversal of 121303313131 is 131313303121.

It is not a de Polignac number, because 121303313131 - 2⁵ = 121303313099 is a prime.

It is a super-2 number, since 2×121303313131² (a number of 23 digits) contains 22 as substring.

121303313131 is a modest number, since divided by 313131 gives 121303 as remainder.

It is not an unprimeable number, because it can be changed into a prime (121303313101) 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 95 ways as a sum of consecutive naturals, for example, 133153566 + ... + 133154476.

It is an arithmetic number, because the mean of its divisors is an integer number (1787417856).

Almost surely, 2^121303313131 is an apocalyptic number.

121303313131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121303313131 is a deficient number, since it is larger than the sum of its proper divisors (50288801045).

121303313131 is a wasteful number, since it uses less digits than its factorization.

121303313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 121303313131 its reverse (131313303121), we get a palindrome (252616616252).

It can be divided in two parts, 121303 and 313131, that added together give a palindrome (434434).

The spelling of 121303313131 in words is "one hundred twenty-one billion, three hundred three million, three hundred thirteen thousand, one hundred thirty-one".