121013111111310 has 384 divisors, whose sum is σ = 365225000025600. Its totient is φ = 27517390709760.

The previous prime is 121013111111303. The next prime is 121013111111317. The reversal of 121013111111310 is 13111111310121.

It is a happy number.

121013111111310 is a `hidden beast` number, since 1 + 21 + 0 + 1 + 311 + 11 + 11 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (121013111111303) and next prime (121013111111317).

It is a super-2 number, since 2×121013111111310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121013111111317) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 699949497 + ... + 700122363.

It is an arithmetic number, because the mean of its divisors is an integer number (951106770900).

Almost surely, 2^{121013111111310} is an apocalyptic number.

121013111111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121013111111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182612500012800).

121013111111310 is an abundant number, since it is smaller than the sum of its proper divisors (244211888914290).

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

121013111111310 is a wasteful number, since it uses less digits than its factorization.

121013111111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173616 (or 173613 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

Adding to 121013111111310 its reverse (13111111310121), we get a palindrome (134124222421431).

The spelling of 121013111111310 in words is "one hundred twenty-one trillion, thirteen billion, one hundred eleven million, one hundred eleven thousand, three hundred ten".