1020213120 has 128 divisors (see below), whose sum is σ = 3284750880. Its totient is φ = 269312000.

The previous prime is 1020213119. The next prime is 1020213121. The reversal of 1020213120 is 213120201.

It is an interprime number because it is at equal distance from previous prime (1020213119) and next prime (1020213121).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020213096 and 1020213105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020213121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191290 + ... + 196550.

Almost surely, 2^1020213120 is an apocalyptic number.

1020213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642375440).

1020213120 is an abundant number, since it is smaller than the sum of its proper divisors (2264537760).

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

1020213120 is a wasteful number, since it uses less digits than its factorization.

1020213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1020213120 is about 31940.7751940995. The cubic root of 1020213120 is about 1006.6928129889.

Adding to 1020213120 its reverse (213120201), we get a palindrome (1233333321).

The spelling of 1020213120 in words is "one billion, twenty million, two hundred thirteen thousand, one hundred twenty".