1353420162133 has 16 divisors (see below), whose sum is σ = 1479046912560. Its totient is φ = 1230903281664.

The previous prime is 1353420162131. The next prime is 1353420162181. The reversal of 1353420162133 is 3312610243531.

It can be written as a sum of positive squares in 8 ways, for example, as 1890684324 + 1351529477809 = 43482^2 + 1162553^2 .

It is a cyclic number.

It is not a de Polignac number, because 1353420162133 - 2¹ = 1353420162131 is a prime.

It is a super-2 number, since 2×1353420162133² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353420162131) 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, 156153 + ... + 1652641.

It is an arithmetic number, because the mean of its divisors is an integer number (92440432035).

Almost surely, 2^{1353420162133} is an apocalyptic number.

1353420162133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1353420162133 is a deficient number, since it is larger than the sum of its proper divisors (125626750427).

1353420162133 is a wasteful number, since it uses less digits than its factorization.

1353420162133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497528.

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 1353420162133 in words is "one trillion, three hundred fifty-three billion, four hundred twenty million, one hundred sixty-two thousand, one hundred thirty-three".