1011013332120 has 192 divisors, whose sum is σ = 3660768483840. Its totient is φ = 239879328000.

The previous prime is 1011013332103. The next prime is 1011013332127. The reversal of 1011013332120 is 212333101101.

1011013332120 is a `hidden beast` number, since 10 + 110 + 1 + 333 + 212 + 0 = 666.

1011013332120 is digitally balanced in base 2, because in such base 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 junction number, because it is equal to n+sod(n) for n = 1011013332093 and 1011013332102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011013332127) 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, 2529906 + ... + 2902145.

It is an arithmetic number, because the mean of its divisors is an integer number (19066502520).

Almost surely, 2^{1011013332120} is an apocalyptic number.

1011013332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011013332120 is an abundant number, since it is smaller than the sum of its proper divisors (2649755151720).

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

1011013332120 is a wasteful number, since it uses less digits than its factorization.

1011013332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432126 (or 5432119 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1011013332120 its reverse (212333101101), we get a palindrome (1223346433221).

The spelling of 1011013332120 in words is "one trillion, eleven billion, thirteen million, three hundred thirty-two thousand, one hundred twenty".