1010413331731 has 2 divisors, whose sum is σ = 1010413331732. Its totient is φ = 1010413331730.

The previous prime is 1010413331701. The next prime is 1010413331747. The reversal of 1010413331731 is 1371333140101.

1010413331731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (1371333140101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010413331731 - 2¹⁵ = 1010413298963 is a prime.

It is a super-2 number, since 2×1010413331731² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1010413331731.

It is not a weakly prime, because it can be changed into another prime (1010413331701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505206665865 + 505206665866.

It is an arithmetic number, because the mean of its divisors is an integer number (505206665866).

Almost surely, 2^{1010413331731} is an apocalyptic number.

1010413331731 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010413331731 is an equidigital number, since it uses as much as digits as its factorization.

1010413331731 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 1010413331731 its reverse (1371333140101), we get a palindrome (2381746471832).

The spelling of 1010413331731 in words is "one trillion, ten billion, four hundred thirteen million, three hundred thirty-one thousand, seven hundred thirty-one".