101311011003132 has 72 divisors (see below), whose sum is σ = 293251256844000. Its totient is φ = 28889134731648.

The previous prime is 101311011003107. The next prime is 101311011003149. The reversal of 101311011003132 is 231300110113101.

101311011003132 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394791007 + ... + 395047542.

Almost surely, 2^{101311011003132} is an apocalyptic number.

101311011003132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101311011003132 is an abundant number, since it is smaller than the sum of its proper divisors (191940245840868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101311011003132 is a wasteful number, since it uses less digits than its factorization.

101311011003132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789839075 (or 789839070 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101311011003132 its reverse (231300110113101), we get a palindrome (332611121116233).

The spelling of 101311011003132 in words is "one hundred one trillion, three hundred eleven billion, eleven million, three thousand, one hundred thirty-two".