31200102141829 has 2 divisors, whose sum is σ = 31200102141830. Its totient is φ = 31200102141828.

The previous prime is 31200102141827. The next prime is 31200102142063. The reversal of 31200102141829 is 92814120100213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28300250760804 + 2899851381025 = 5319798^2 + 1702895^2 .

It is a cyclic number.

It is not a de Polignac number, because 31200102141829 - 2¹ = 31200102141827 is a prime.

Together with 31200102141827, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 31200102141794 and 31200102141803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31200102141827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15600051070914 + 15600051070915.

It is an arithmetic number, because the mean of its divisors is an integer number (15600051070915).

Almost surely, 2^{31200102141829} is an apocalyptic number.

It is an amenable number.

31200102141829 is a deficient number, since it is larger than the sum of its proper divisors (1).

31200102141829 is an equidigital number, since it uses as much as digits as its factorization.

31200102141829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 31200102141829 in words is "thirty-one trillion, two hundred billion, one hundred two million, one hundred forty-one thousand, eight hundred twenty-nine".