101333123131012 has 6 divisors (see below), whose sum is σ = 177332965479278. Its totient is φ = 50666561565504.

The previous prime is 101333123130971. The next prime is 101333123131069. The reversal of 101333123131012 is 210131321333101.

It can be written as a sum of positive squares in only one way, i.e., 86249966371396 + 15083156759616 = 9287086^2 + 3883704^2 .

It is a super-2 number, since 2×101333123131012² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12666640391373 + ... + 12666640391380.

Almost surely, 2^{101333123131012} is an apocalyptic number.

It is an amenable number.

101333123131012 is a deficient number, since it is larger than the sum of its proper divisors (75999842348266).

101333123131012 is a wasteful number, since it uses less digits than its factorization.

101333123131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25333280782757 (or 25333280782755 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 101333123131012 its reverse (210131321333101), we get a palindrome (311464444464113).

The spelling of 101333123131012 in words is "one hundred one trillion, three hundred thirty-three billion, one hundred twenty-three million, one hundred thirty-one thousand, twelve".