11334031314001 has 24 divisors (see below), whose sum is σ = 13212627724800. Its totient is φ = 9681589610880.

The previous prime is 11334031313987. The next prime is 11334031314019. The reversal of 11334031314001 is 10041313043311.

It is not a de Polignac number, because 11334031314001 - 2⁷ = 11334031313873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11334031314041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3290101 + ... + 5787298.

It is an arithmetic number, because the mean of its divisors is an integer number (550526155200).

Almost surely, 2^{11334031314001} is an apocalyptic number.

11334031314001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11334031314001 is a deficient number, since it is larger than the sum of its proper divisors (1878596410799).

11334031314001 is a wasteful number, since it uses less digits than its factorization.

11334031314001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078045 (or 9078034 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 11334031314001 its reverse (10041313043311), we get a palindrome (21375344357312).

The spelling of 11334031314001 in words is "eleven trillion, three hundred thirty-four billion, thirty-one million, three hundred fourteen thousand, one".