114113233305513 has 48 divisors (see below), whose sum is σ = 179190788183680. Its totient is φ = 69975385081056.

The previous prime is 114113233305437. The next prime is 114113233305527. The reversal of 114113233305513 is 315503332311411.

114113233305513 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 132 + 3 + 3 + 3 + 0 + 5 + 513 = 666.

It is not a de Polignac number, because 114113233305513 - 2¹³ = 114113233297321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114113233305583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4600645 + ... + 15792162.

Almost surely, 2^{114113233305513} is an apocalyptic number.

114113233305513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114113233305513 is a deficient number, since it is larger than the sum of its proper divisors (65077554878167).

114113233305513 is a wasteful number, since it uses less digits than its factorization.

114113233305513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20393135 (or 20393106 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 114113233305513 its reverse (315503332311411), we get a palindrome (429616565616924).

The spelling of 114113233305513 in words is "one hundred fourteen trillion, one hundred thirteen billion, two hundred thirty-three million, three hundred five thousand, five hundred thirteen".