121113310331310 has 128 divisors (see below), whose sum is σ = 336337423538688. Its totient is φ = 27585300480000.

The previous prime is 121113310331261. The next prime is 121113310331311. The reversal of 121113310331310 is 13133013311121.

It is a super-3 number, since 3×121113310331310³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121113310331311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15701091 + ... + 22107710.

It is an arithmetic number, because the mean of its divisors is an integer number (2627636121396).

Almost surely, 2^{121113310331310} is an apocalyptic number.

121113310331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121113310331310 is an abundant number, since it is smaller than the sum of its proper divisors (215224113207378).

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

121113310331310 is a wasteful number, since it uses less digits than its factorization.

121113310331310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37809410.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 121113310331310 its reverse (13133013311121), we get a palindrome (134246323642431).

The spelling of 121113310331310 in words is "one hundred twenty-one trillion, one hundred thirteen billion, three hundred ten million, three hundred thirty-one thousand, three hundred ten".