1002123213 has 64 divisors (see below), whose sum is σ = 1771714560. Its totient is φ = 489017088.

The previous prime is 1002123203. The next prime is 1002123223. The reversal of 1002123213 is 3123212001.

It is an interprime number because it is at equal distance from previous prime (1002123203) and next prime (1002123223).

It is not a de Polignac number, because 1002123213 - 2⁴ = 1002123197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002123192 and 1002123201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002123203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220795 + ... + 225287.

It is an arithmetic number, because the mean of its divisors is an integer number (27683040).

Almost surely, 2^1002123213 is an apocalyptic number.

1002123213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002123213 is a deficient number, since it is larger than the sum of its proper divisors (769591347).

1002123213 is a wasteful number, since it uses less digits than its factorization.

1002123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1002123213 is about 31656.3297461977. The cubic root of 1002123213 is about 1000.7072373641.

Adding to 1002123213 its reverse (3123212001), we get a palindrome (4125335214).

The spelling of 1002123213 in words is "one billion, two million, one hundred twenty-three thousand, two hundred thirteen".