3413121101461 has 2 divisors, whose sum is σ = 3413121101462. Its totient is φ = 3413121101460.

The previous prime is 3413121101459. The next prime is 3413121101539. The reversal of 3413121101461 is 1641011213143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2436174680625 + 976946420836 = 1560825^2 + 988406^2 .

It is a cyclic number.

It is not a de Polignac number, because 3413121101461 - 2¹ = 3413121101459 is a prime.

Together with 3413121101459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3413121101861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1706560550730 + 1706560550731.

It is an arithmetic number, because the mean of its divisors is an integer number (1706560550731).

Almost surely, 2^{3413121101461} is an apocalyptic number.

It is an amenable number.

3413121101461 is a deficient number, since it is larger than the sum of its proper divisors (1).

3413121101461 is an equidigital number, since it uses as much as digits as its factorization.

3413121101461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 3413121101461 in words is "three trillion, four hundred thirteen billion, one hundred twenty-one million, one hundred one thousand, four hundred sixty-one".