1013142120 has 64 divisors (see below), whose sum is σ = 3043656000. Its totient is φ = 269795328.

The previous prime is 1013142101. The next prime is 1013142131. The reversal of 1013142120 is 212413101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1013142120.

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, 86791 + ... + 97769.

It is an arithmetic number, because the mean of its divisors is an integer number (47557125).

Almost surely, 2^1013142120 is an apocalyptic number.

1013142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013142120 is an abundant number, since it is smaller than the sum of its proper divisors (2030513880).

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

1013142120 is a wasteful number, since it uses less digits than its factorization.

1013142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11762 (or 11758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1013142120 is about 31829.8934965230. The cubic root of 1013142120 is about 1004.3616549738.

Adding to 1013142120 its reverse (212413101), we get a palindrome (1225555221).

The spelling of 1013142120 in words is "one billion, thirteen million, one hundred forty-two thousand, one hundred twenty".