10110331011001 has 8 divisors (see below), whose sum is σ = 10888124912840. Its totient is φ = 9332547985152.

The previous prime is 10110331010993. The next prime is 10110331011031. The reversal of 10110331011001 is 10011013301101.

It can be written as a sum of positive squares in 4 ways, for example, as 489937002025 + 9620394008976 = 699955^2 + 3101676^2 .

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 10110331011001 - 2³ = 10110331010993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110331011031) 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, 734640 + ... + 4556353.

It is an arithmetic number, because the mean of its divisors is an integer number (1361015614105).

Almost surely, 2^{10110331011001} is an apocalyptic number.

It is an amenable number.

10110331011001 is a deficient number, since it is larger than the sum of its proper divisors (777793901839).

10110331011001 is a wasteful number, since it uses less digits than its factorization.

10110331011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5437995.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10110331011001 its reverse (10011013301101), we get a palindrome (20121344312102).

The spelling of 10110331011001 in words is "ten trillion, one hundred ten billion, three hundred thirty-one million, eleven thousand, one".