13101121011 has 16 divisors (see below), whose sum is σ = 19884706560. Its totient is φ = 7594852320.

The previous prime is 13101120983. The next prime is 13101121013. The reversal of 13101121011 is 11012110131.

It is not a de Polignac number, because 13101121011 - 2¹⁸ = 13100858867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13101121013) 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, 8629756 + ... + 8631273.

It is an arithmetic number, because the mean of its divisors is an integer number (1242794160).

Almost surely, 2^13101121011 is an apocalyptic number.

13101121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13101121011 is a deficient number, since it is larger than the sum of its proper divisors (6783585549).

13101121011 is a wasteful number, since it uses less digits than its factorization.

13101121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17261066.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 13101121011 its reverse (11012110131), we get a palindrome (24113231142).

The spelling of 13101121011 in words is "thirteen billion, one hundred one million, one hundred twenty-one thousand, eleven".