1331020001001 has 8 divisors (see below), whose sum is σ = 1774772995840. Its totient is φ = 887306836752.

The previous prime is 1331020000993. The next prime is 1331020001117. The reversal of 1331020001001 is 1001000201331.

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

It is not a de Polignac number, because 1331020001001 - 2³ = 1331020000993 is a prime.

It is a super-2 number, since 2×1331020001001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331020001401) 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, 9879586 + ... + 10013403.

It is an arithmetic number, because the mean of its divisors is an integer number (221846624480).

Almost surely, 2^{1331020001001} is an apocalyptic number.

It is an amenable number.

1331020001001 is a deficient number, since it is larger than the sum of its proper divisors (443752994839).

1331020001001 is a wasteful number, since it uses less digits than its factorization.

1331020001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19915295.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1331020001001 its reverse (1001000201331), we get a palindrome (2332020202332).

The spelling of 1331020001001 in words is "one trillion, three hundred thirty-one billion, twenty million, one thousand, one".