1301133101131 has 32 divisors (see below), whose sum is σ = 1463885498880. Its totient is φ = 1149962558976.

The previous prime is 1301133101129. The next prime is 1301133101173. The reversal of 1301133101131 is 1311013311031.

It is a cyclic number.

It is not a de Polignac number, because 1301133101131 - 2¹ = 1301133101129 is a prime.

It is a super-2 number, since 2×1301133101131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1301133101099 and 1301133101108.

It is not an unprimeable number, because it can be changed into a prime (1301133101101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17425980 + ... + 17500486.

It is an arithmetic number, because the mean of its divisors is an integer number (45746421840).

Almost surely, 2^{1301133101131} is an apocalyptic number.

1301133101131 is a deficient number, since it is larger than the sum of its proper divisors (162752397749).

1301133101131 is a wasteful number, since it uses less digits than its factorization.

1301133101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75363.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 1301133101131 its reverse (1311013311031), we get a palindrome (2612146412162).

The spelling of 1301133101131 in words is "one trillion, three hundred one billion, one hundred thirty-three million, one hundred one thousand, one hundred thirty-one".