10301331132133 has 2 divisors, whose sum is σ = 10301331132134. Its totient is φ = 10301331132132.

The previous prime is 10301331132107. The next prime is 10301331132137. The reversal of 10301331132133 is 33123113310301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8086419257569 + 2214911874564 = 2843663^2 + 1488258^2 .

It is a cyclic number.

It is not a de Polignac number, because 10301331132133 - 2¹⁷ = 10301331001061 is a prime.

It is a super-2 number, since 2×10301331132133² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10301331132098 and 10301331132107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10301331132137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150665566066 + 5150665566067.

It is an arithmetic number, because the mean of its divisors is an integer number (5150665566067).

Almost surely, 2^{10301331132133} is an apocalyptic number.

It is an amenable number.

10301331132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301331132133 is an equidigital number, since it uses as much as digits as its factorization.

10301331132133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 10301331132133 its reverse (33123113310301), we get a palindrome (43424444442434).

The spelling of 10301331132133 in words is "ten trillion, three hundred one billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty-three".