1020134011120 has 80 divisors (see below), whose sum is σ = 2768315102208. Its totient is φ = 342318516480.

The previous prime is 1020134011103. The next prime is 1020134011159. The reversal of 1020134011120 is 211104310201.

1020134011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1020134011120³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1020134011094 and 1020134011103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19353126 + ... + 19405765.

Almost surely, 2^{1020134011120} is an apocalyptic number.

1020134011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020134011120 is an abundant number, since it is smaller than the sum of its proper divisors (1748181091088).

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

1020134011120 is a wasteful number, since it uses less digits than its factorization.

1020134011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38758958 (or 38758952 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1020134011120 its reverse (211104310201), we get a palindrome (1231238321321).

The spelling of 1020134011120 in words is "one trillion, twenty billion, one hundred thirty-four million, eleven thousand, one hundred twenty".