35123133132153 has 48 divisors (see below), whose sum is σ = 55816542093312. Its totient is φ = 21106320012000.

The previous prime is 35123133132083. The next prime is 35123133132163.

35123133132153 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 313 + 313 + 21 + 5 + 3 = 666.

35123133132153 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35123133132153 - 2³² = 35118838164857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35123133132163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2779848 + ... + 8830278.

It is an arithmetic number, because the mean of its divisors is an integer number (1162844626944).

Almost surely, 2^{35123133132153} is an apocalyptic number.

35123133132153 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35123133132153 is a deficient number, since it is larger than the sum of its proper divisors (20693408961159).

35123133132153 is a wasteful number, since it uses less digits than its factorization.

35123133132153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050946 (or 6050943 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

It can be divided in two parts, 3512313 and 3132153, that added together give a palindrome (6644466).

The spelling of 35123133132153 in words is "thirty-five trillion, one hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred fifty-three".