31434575340001 has 2 divisors, whose sum is σ = 31434575340002. Its totient is φ = 31434575340000.

The previous prime is 31434575339971. The next prime is 31434575340017. The reversal of 31434575340001 is 10004357543413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23441826488976 + 7992748851025 = 4841676^2 + 2827145^2 .

It is a cyclic number.

It is not a de Polignac number, because 31434575340001 - 2¹¹ = 31434575337953 is a prime.

It is not a weakly prime, because it can be changed into another prime (31434575340041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15717287670000 + 15717287670001.

It is an arithmetic number, because the mean of its divisors is an integer number (15717287670001).

Almost surely, 2^{31434575340001} is an apocalyptic number.

It is an amenable number.

31434575340001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31434575340001 is an equidigital number, since it uses as much as digits as its factorization.

31434575340001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 31434575340001 in words is "thirty-one trillion, four hundred thirty-four billion, five hundred seventy-five million, three hundred forty thousand, one".