2121310413 has 6 divisors (see below), whose sum is σ = 3064115054. Its totient is φ = 1414206936.

The previous prime is 2121310393. The next prime is 2121310421. The reversal of 2121310413 is 3140131212.

It can be written as a sum of positive squares in only one way, i.e., 2079086409 + 42224004 = 45597^2 + 6498^2 .

It is not a de Polignac number, because 2121310413 - 2¹⁴ = 2121294029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121310453) 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, 117850570 + ... + 117850587.

Almost surely, 2^2121310413 is an apocalyptic number.

It is an amenable number.

2121310413 is a deficient number, since it is larger than the sum of its proper divisors (942804641).

2121310413 is a wasteful number, since it uses less digits than its factorization.

2121310413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235701163 (or 235701160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2121310413 is about 46057.6857104219. The cubic root of 2121310413 is about 1284.8962884195.

Adding to 2121310413 its reverse (3140131212), we get a palindrome (5261441625).

It can be divided in two parts, 21213 and 10413, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 2121310413 in words is "two billion, one hundred twenty-one million, three hundred ten thousand, four hundred thirteen".