1018348101031 has 16 divisors (see below), whose sum is σ = 1045445385600. Its totient is φ = 991484506368.

The previous prime is 1018348100963. The next prime is 1018348101073. The reversal of 1018348101031 is 1301018438101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1018348101031 - 2¹⁵ = 1018348068263 is a prime.

It is a super-2 number, since 2×1018348101031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1018348100984 and 1018348101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1018348105031) 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 in 15 ways as a sum of consecutive naturals, for example, 12800605 + ... + 12879913.

It is an arithmetic number, because the mean of its divisors is an integer number (65340336600).

Almost surely, 2^{1018348101031} is an apocalyptic number.

1018348101031 is a deficient number, since it is larger than the sum of its proper divisors (27097284569).

1018348101031 is a wasteful number, since it uses less digits than its factorization.

1018348101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80778.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 1018348101031 in words is "one trillion, eighteen billion, three hundred forty-eight million, one hundred one thousand, thirty-one".