121013111310 has 256 divisors, whose sum is σ = 368086118400. Its totient is φ = 24776699904.

The previous prime is 121013111291. The next prime is 121013111311. The reversal of 121013111310 is 13111310121.

It is a super-2 number, since 2×121013111310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121013111310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121013111311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44342026 + ... + 44344754.

It is an arithmetic number, because the mean of its divisors is an integer number (1437836400).

Almost surely, 2^121013111310 is an apocalyptic number.

121013111310 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 121013111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184043059200).

121013111310 is an abundant number, since it is smaller than the sum of its proper divisors (247073007090).

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

121013111310 is a wasteful number, since it uses less digits than its factorization.

121013111310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 121013111310 its reverse (13111310121), we get a palindrome (134124421431).

The spelling of 121013111310 in words is "one hundred twenty-one billion, thirteen million, one hundred eleven thousand, three hundred ten".