400420351531313 has 2 divisors, whose sum is σ = 400420351531314. Its totient is φ = 400420351531312.

The previous prime is 400420351531237. The next prime is 400420351531327. The reversal of 400420351531313 is 313135153024004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385232004419584 + 15188347111729 = 19627328^2 + 3897223^2 .

It is a cyclic number.

It is not a de Polignac number, because 400420351531313 - 2³⁴ = 400403171662129 is a prime.

It is not a weakly prime, because it can be changed into another prime (400420351536313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200210175765656 + 200210175765657.

It is an arithmetic number, because the mean of its divisors is an integer number (200210175765657).

Almost surely, 2^{400420351531313} is an apocalyptic number.

It is an amenable number.

400420351531313 is a deficient number, since it is larger than the sum of its proper divisors (1).

400420351531313 is an equidigital number, since it uses as much as digits as its factorization.

400420351531313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 400420351531313 in words is "four hundred trillion, four hundred twenty billion, three hundred fifty-one million, five hundred thirty-one thousand, three hundred thirteen".