100024031054513 has 2 divisors, whose sum is σ = 100024031054514. Its totient is φ = 100024031054512.

The previous prime is 100024031054491. The next prime is 100024031054527. The reversal of 100024031054513 is 315450130420001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61964101705984 + 38059929348529 = 7871728^2 + 6169273^2 .

It is an emirp because it is prime and its reverse (315450130420001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100024031054513 - 2¹⁶ = 100024030988977 is a prime.

It is not a weakly prime, because it can be changed into another prime (100024031054713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50012015527256 + 50012015527257.

It is an arithmetic number, because the mean of its divisors is an integer number (50012015527257).

Almost surely, 2^{100024031054513} is an apocalyptic number.

It is an amenable number.

100024031054513 is a deficient number, since it is larger than the sum of its proper divisors (1).

100024031054513 is an equidigital number, since it uses as much as digits as its factorization.

100024031054513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 100024031054513 its reverse (315450130420001), we get a palindrome (415474161474514).

The spelling of 100024031054513 in words is "one hundred trillion, twenty-four billion, thirty-one million, fifty-four thousand, five hundred thirteen".