900010434114031 has 2 divisors, whose sum is σ = 900010434114032. Its totient is φ = 900010434114030.

The previous prime is 900010434113977. The next prime is 900010434114067. The reversal of 900010434114031 is 130411434010009.

It is a strong prime.

It is an emirp because it is prime and its reverse (130411434010009) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-900010434114031 is a prime.

It is a super-2 number, since 2×900010434114031² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 900010434113984 and 900010434114002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (900010434114131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450005217057015 + 450005217057016.

It is an arithmetic number, because the mean of its divisors is an integer number (450005217057016).

Almost surely, 2^{900010434114031} is an apocalyptic number.

900010434114031 is a deficient number, since it is larger than the sum of its proper divisors (1).

900010434114031 is an equidigital number, since it uses as much as digits as its factorization.

900010434114031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 900010434114031 in words is "nine hundred trillion, ten billion, four hundred thirty-four million, one hundred fourteen thousand, thirty-one".