121010013 has 6 divisors (see below), whose sum is σ = 174792254. Its totient is φ = 80673336.

The previous prime is 121009997. The next prime is 121010033. The reversal of 121010013 is 310010121.

It can be written as a sum of positive squares in only one way, i.e., 62441604 + 58568409 = 7902^2 + 7653^2 .

It is not a de Polignac number, because 121010013 - 2⁴ = 121009997 is a prime.

It is a super-3 number, since 3×121010013³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13445557 = 121010013 / (1 + 2 + 1 + 0 + 1 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121009977 and 121010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121010033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6722770 + ... + 6722787.

Almost surely, 2^121010013 is an apocalyptic number.

It is an amenable number.

121010013 is a deficient number, since it is larger than the sum of its proper divisors (53782241).

121010013 is a wasteful number, since it uses less digits than its factorization.

121010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13445563 (or 13445560 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 121010013 is about 11000.4551269482. The cubic root of 121010013 is about 494.6223872471.

Adding to 121010013 its reverse (310010121), we get a palindrome (431020134).

It can be divided in two parts, 12 and 1010013, that added together give a square (1010025 = 1005²).

The spelling of 121010013 in words is "one hundred twenty-one million, ten thousand, thirteen".