121313010 has 128 divisors (see below), whose sum is σ = 368331264. Its totient is φ = 24883200.

The previous prime is 121313009. The next prime is 121313011. The reversal of 121313010 is 10313121.

It is an interprime number because it is at equal distance from previous prime (121313009) and next prime (121313011).

It is not an unprimeable number, because it can be changed into a prime (121313011) 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, 100410 + ... + 101610.

It is an arithmetic number, because the mean of its divisors is an integer number (2877588).

Almost surely, 2^121313010 is an apocalyptic number.

121313010 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 121313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184165632).

121313010 is an abundant number, since it is smaller than the sum of its proper divisors (247018254).

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

121313010 is a wasteful number, since it uses less digits than its factorization.

121313010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 121313010 is about 11014.2185378719. The cubic root of 121313010 is about 495.0348715358.

Adding to 121313010 its reverse (10313121), we get a palindrome (131626131).

The spelling of 121313010 in words is "one hundred twenty-one million, three hundred thirteen thousand, ten".