121135316306130 has 72 divisors (see below), whose sum is σ = 366372528106572. Its totient is φ = 27688072297536.

The previous prime is 121135316306117. The next prime is 121135316306143. The reversal of 121135316306130 is 31603613531121.

121135316306130 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 5 + 3 + 1 + 6 + 30 + 613 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121135316306117) and next prime (121135316306143).

It can be written as a sum of positive squares in 2 ways, for example, as 115641181888281 + 5494134417849 = 10753659^2 + 2343957^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 13734158437 + ... + 13734167256.

Almost surely, 2^{121135316306130} is an apocalyptic number.

121135316306130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121135316306130 is an abundant number, since it is smaller than the sum of its proper divisors (245237211800442).

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

121135316306130 is a wasteful number, since it uses less digits than its factorization.

121135316306130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27468325720 (or 27468325710 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 121135316306130 its reverse (31603613531121), we get a palindrome (152738929837251).

The spelling of 121135316306130 in words is "one hundred twenty-one trillion, one hundred thirty-five billion, three hundred sixteen million, three hundred six thousand, one hundred thirty".