13101101144131 has 16 divisors (see below), whose sum is σ = 17590289649408. Its totient is φ = 9423369453600.

The previous prime is 13101101144119. The next prime is 13101101144141. The reversal of 13101101144131 is 13144110110131.

It is a cyclic number.

It is not a de Polignac number, because 13101101144131 - 2⁹ = 13101101143619 is a prime.

It is a super-2 number, since 2×13101101144131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13101101144141) 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, 6544005565 + ... + 6544007566.

It is an arithmetic number, because the mean of its divisors is an integer number (1099393103088).

Almost surely, 2^{13101101144131} is an apocalyptic number.

13101101144131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13101101144131 is a deficient number, since it is larger than the sum of its proper divisors (4489188505277).

13101101144131 is a wasteful number, since it uses less digits than its factorization.

13101101144131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13088013162.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 13101101144131 its reverse (13144110110131), we get a palindrome (26245211254262).

The spelling of 13101101144131 in words is "thirteen trillion, one hundred one billion, one hundred one million, one hundred forty-four thousand, one hundred thirty-one".