1031021009993 has 8 divisors (see below), whose sum is σ = 1114338735048. Its totient is φ = 948275915904.

The previous prime is 1031021009987. The next prime is 1031021009999. The reversal of 1031021009993 is 3999001201301.

It is an interprime number because it is at equal distance from previous prime (1031021009987) and next prime (1031021009999).

It can be written as a sum of positive squares in 4 ways, for example, as 6984279184 + 1024036730809 = 83572^2 + 1011947^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1031021009993 - 2¹² = 1031021005897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1031021009999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143153996 + ... + 143161197.

It is an arithmetic number, because the mean of its divisors is an integer number (139292341881).

Almost surely, 2^{1031021009993} is an apocalyptic number.

1031021009993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1031021009993 is a deficient number, since it is larger than the sum of its proper divisors (83317725055).

1031021009993 is a wasteful number, since it uses less digits than its factorization.

1031021009993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286315483.

The product of its (nonzero) digits is 13122, while the sum is 38.

The spelling of 1031021009993 in words is "one trillion, thirty-one billion, twenty-one million, nine thousand, nine hundred ninety-three".