1013348973 has 32 divisors (see below), whose sum is σ = 1735243776. Its totient is φ = 511270848.

The previous prime is 1013348939. The next prime is 1013348993. The reversal of 1013348973 is 3798433101.

It is a happy number.

It is not a de Polignac number, because 1013348973 - 2¹⁰ = 1013347949 is a prime.

It is a super-3 number, since 3×1013348973³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013348993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74415 + ... + 86972.

It is an arithmetic number, because the mean of its divisors is an integer number (54226368).

Almost surely, 2^1013348973 is an apocalyptic number.

1013348973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013348973 is a deficient number, since it is larger than the sum of its proper divisors (721894803).

1013348973 is a wasteful number, since it uses less digits than its factorization.

1013348973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161433.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1013348973 is about 31833.1426818026. The cubic root of 1013348973 is about 1004.4300037539.

The spelling of 1013348973 in words is "one billion, thirteen million, three hundred forty-eight thousand, nine hundred seventy-three".