3121414141213 has 8 divisors (see below), whose sum is σ = 3153913151480. Its totient is φ = 3088921651200.

The previous prime is 3121414141159. The next prime is 3121414141249.

3121414141213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1649688497604 + 1471725643609 = 1284402^2 + 1213147^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3121414141213 - 2¹³ = 3121414133021 is a prime.

It is a super-2 number, since 2×3121414141213² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121414141913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 664668 + ... + 2585461.

It is an arithmetic number, because the mean of its divisors is an integer number (394239143935).

Almost surely, 2^{3121414141213} is an apocalyptic number.

It is an amenable number.

3121414141213 is a deficient number, since it is larger than the sum of its proper divisors (32499010267).

3121414141213 is an equidigital number, since it uses as much as digits as its factorization.

3121414141213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260127.

The product of its digits is 2304, while the sum is 28.

The spelling of 3121414141213 in words is "three trillion, one hundred twenty-one billion, four hundred fourteen million, one hundred forty-one thousand, two hundred thirteen".