1001312103031 has 16 divisors (see below), whose sum is σ = 1066975308000. Its totient is φ = 936403089408.

The previous prime is 1001312102993. The next prime is 1001312103073. The reversal of 1001312103031 is 1303012131001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001312103031 is a prime.

It is a super-2 number, since 2×1001312103031² (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 = 1001312102996 and 1001312103014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001312103331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12009535 + ... + 12092623.

It is an arithmetic number, because the mean of its divisors is an integer number (66685956750).

Almost surely, 2^{1001312103031} is an apocalyptic number.

1001312103031 is a deficient number, since it is larger than the sum of its proper divisors (65663204969).

1001312103031 is a wasteful number, since it uses less digits than its factorization.

1001312103031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87618.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1001312103031 its reverse (1303012131001), we get a palindrome (2304324234032).

The spelling of 1001312103031 in words is "one trillion, one billion, three hundred twelve million, one hundred three thousand, thirty-one".