100142211313 has 2 divisors, whose sum is σ = 100142211314. Its totient is φ = 100142211312.

The previous prime is 100142211187. The next prime is 100142211317. The reversal of 100142211313 is 313112241001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76600525824 + 23541685489 = 276768^2 + 153433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100142211313 is a prime.

It is not a weakly prime, because it can be changed into another prime (100142211317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50071105656 + 50071105657.

It is an arithmetic number, because the mean of its divisors is an integer number (50071105657).

Almost surely, 2^100142211313 is an apocalyptic number.

It is an amenable number.

100142211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100142211313 is an equidigital number, since it uses as much as digits as its factorization.

100142211313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100142211313 its reverse (313112241001), we get a palindrome (413254452314).

The spelling of 100142211313 in words is "one hundred billion, one hundred forty-two million, two hundred eleven thousand, three hundred thirteen".