1233414114013 has 2 divisors, whose sum is σ = 1233414114014. Its totient is φ = 1233414114012.

The previous prime is 1233414113963. The next prime is 1233414114043. The reversal of 1233414114013 is 3104114143321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1146060173764 + 87353940249 = 1070542^2 + 295557^2 .

It is a cyclic number.

It is not a de Polignac number, because 1233414114013 - 2²⁵ = 1233380559581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1233414114043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 616707057006 + 616707057007.

It is an arithmetic number, because the mean of its divisors is an integer number (616707057007).

Almost surely, 2^{1233414114013} is an apocalyptic number.

It is an amenable number.

1233414114013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1233414114013 is an equidigital number, since it uses as much as digits as its factorization.

1233414114013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 1233414114013 its reverse (3104114143321), we get a palindrome (4337528257334).

The spelling of 1233414114013 in words is "one trillion, two hundred thirty-three billion, four hundred fourteen million, one hundred fourteen thousand, thirteen".